Results 71 to 80 of about 12,298,354 (363)

Applications of (p,q)-gamma function to Szász Durrmeyer operators

open access: yes, 2017
We define a (p, q) analogue of Gamma function. As an application, we propose (p, q)-Szász–Durrmeyer operators, estimate moments and establish some direct results.
A. Aral, Vijay Gupta
semanticscholar   +1 more source

A Note on Gamma Functions [PDF]

open access: yesMathematical Notes, 1959
Various improvements in the formulawhich was discovered by Wallis in 1669, were studied by D. K. Kazarinoff in No. 40 of these Notes (December 1956).
openaire   +2 more sources

Single‐cell insights into the role of T cells in B‐cell malignancies

open access: yesFEBS Letters, EarlyView.
Single‐cell technologies have transformed our understanding of T cell–tumor cell interactions in B‐cell malignancies, revealing new T‐cell subsets, functional states, and immune evasion mechanisms. This Review synthesizes these findings, highlighting the roles of T cells in pathogenesis, progression, and therapy response, and underscoring their ...
Laura Llaó‐Cid
wiley   +1 more source

Construction Conditions and Applications of a Hilbert-Type Multiple Integral Inequality Involving Multivariable Upper Limit Functions and Higher-Order Partial Derivatives

open access: yesAxioms
Hilbert-type inequalities derive from the classical Hilbert inequality, and their theoretical work has key applications not only in operator theory but also in various analytic disciplines.
Yong Hong, Qian Zhao, Zhihong Zhao
doaj   +1 more source

New extension of beta, Gauss and confluent hypergeometric functions

open access: yesCumhuriyet Science Journal, 2021
There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar   +1 more
doaj   +1 more source

The epithelial barrier theory proposes a comprehensive explanation for the origins of allergic and other chronic noncommunicable diseases

open access: yesFEBS Letters, EarlyView.
Exposure to common noxious agents (1), including allergens, pollutants, and micro‐nanoplastics, can cause epithelial barrier damage (2) in our body's protective linings. This may trigger an immune response to our microbiome (3). The epithelial barrier theory explains how this process can lead to chronic noncommunicable diseases (4) affecting organs ...
Can Zeyneloglu   +17 more
wiley   +1 more source

On the Special Gamma Function Over the Complex Two-Fold Algebras [PDF]

open access: yesNeutrosophic Sets and Systems
The concept of special functions plays an important role in mathematical analysis and physics as well. In this paper, we study some different types of the special Gamma function defined on the two-fold fuzzy complex field, where we combine the classical
Nabil Khuder Salman
doaj   +1 more source

Error bounds and exponential improvements for the asymptotic expansions of the gamma function and its reciprocal [PDF]

open access: yesProceedings of the Royal Society of Edinburgh: Section A Mathematics, 2013
In 1994 Boyd derived a resurgence representation for the gamma function, exploiting the 1991 reformulation of the method of steepest descents by Berry and Howls.
G. Nemes
semanticscholar   +1 more source

From omics to AI—mapping the pathogenic pathways in type 2 diabetes

open access: yesFEBS Letters, EarlyView.
Integrating multi‐omics data with AI‐based modelling (unsupervised and supervised machine learning) identify optimal patient clusters, informing AI‐driven accurate risk stratification. Digital twins simulate individual trajectories in real time, guiding precision medicine by matching patients to targeted therapies.
Siobhán O'Sullivan   +2 more
wiley   +1 more source

A Distributional Representation of Gamma Function with Generalized Complex Domian

open access: yes, 2017
In this paper, we present a new representation of gamma function as a series of complex delta functions. We establish the convergence of this representation in the sense of distributions.
Asifa Tassaddiq   +2 more
semanticscholar   +1 more source

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